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464742608 = 24113139157
BaseRepresentation
bin11011101100110…
…110100011010000
31012101111101000012
4123230312203100
51422433230413
6114041014052
714342150501
oct3354664320
91171441005
10464742608
11219376000
1210b784328
137538c135
1445a18ba8
152ac017a8
hex1bb368d0

464742608 has 80 divisors (see below), whose sum is σ = 1003894080. Its totient is φ = 208391040.

The previous prime is 464742571. The next prime is 464742613. The reversal of 464742608 is 806247464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2960066 + ... + 2960222.

It is an arithmetic number, because the mean of its divisors is an integer number (12548676).

Almost surely, 2464742608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501947040).

464742608 is an abundant number, since it is smaller than the sum of its proper divisors (539151472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464742608 is a wasteful number, since it uses less digits than its factorization.

464742608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 464742608 is about 21557.8896926392. The cubic root of 464742608 is about 774.5881171777.

The spelling of 464742608 in words is "four hundred sixty-four million, seven hundred forty-two thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 139 157 176 242 278 314 484 556 628 968 1112 1256 1331 1529 1727 1936 2224 2512 2662 3058 3454 5324 6116 6908 10648 12232 13816 16819 18997 21296 21823 24464 27632 33638 37994 43646 67276 75988 87292 134552 151976 174584 185009 208967 240053 269104 303952 349168 370018 417934 480106 740036 835868 960212 1480072 1671736 1920424 2640583 2960144 3343472 3840848 5281166 10562332 21124664 29046413 42249328 58092826 116185652 232371304 464742608